Physics 9D Mid Term 1
Answer all 5 problems. All 5 carry equal weight. No credit given for answers without work shown.
Some constants: c = 3.0 108 m/s, mass of proton mp = 1.67 1027 Kg, mass of electron me = 9.1 1031
Kg, magnitude of electron charge q = 1
Physics 9D QUIZ 6 NAME
In a stationary state, the spatial part of the wavefunction of a particle is given by
mm) = exp(:c/a), a: 2 o,
and
1,!)(a:)=0, $<0.
Calculate the uncertainty in the particles position.
(You can use the result I? mm exp (bw) dcc =
Physics 9D Mid Term 1
Answer all 5 problems. All 5 carry equal weight. No credit given for answers without work shown.
Some constants: c = 3.0 108 m/s, mass of proton mp = 1.67 1027 Kg, mass of electron me = 9.1 1031
Kg, magnitude of electron charge q = 1
PHYSICS 9D FINALS
Please read the questions carefully. All seven questions carry equal points. NO CREDIT WILL BE GIVEN
FOR ANSWERS WITHOUT WORK SHOWN
Please answer every question 1 through 7 on a separate page in your Blue Book.
For each of the following
Ann measures the length of a rod at rest in her frame
y
x
(Ann)
z
y
v
(Bob)
z
x
Ann measures the length of a rod at rest in her frame
event #1 occurs at t1
y
x
(Ann)
event #1: flash occurs when Bobs
sparker crosses one end of the rod
z
y
v
(Bob)
z
x
Ann m
force diagram:
N
contact force on you causes
centripetal acceleration:
F
N mg
2 r = ac = net = =
=g
m m
m
r
So in an effort to trick you into
thinking you were on Earth, the aliens
cleverly adjusted the rotational speed
of the space station so that combi
simultaneous events for Ann
synchronizing flash
flash occurs at t = 0
y
x
(Ann)
x = L
x = +L
z
time of event #1 = time of event # 2 =
L
c
y
(Ann)
x
z
event #1: detector #1 receives flash
event #2: detector #2 receives flash
A Classical Physics Review
for Modern Physics
This material is written for the student taking modern physics. It is intended as a review of general principles
of classical physics, concentrating on topics most important to modern physics, some of which ma
Physics 9D Spring 2017, 66 RO, MWF 2:10-3:00 PM
INSTRUCTOR: Rajiv Singh Oce: 425 Physics, Oce Hour: W 3:00-4:00 PM in 425 Physics
Problem Solving Session with instructor: (Time and place to be finalized). (Wednesday 5:00-6:00 PM)
Text: Modern Physics by R
Hydrogen 1s1
Helium 1s2
Lithium 1s2 2s1
The above figures illustrate the main idea behind the Periodic Table. From left to right, the number of protons
in the nucleus increases uniformly. This has the effect of drawing the 1s electrons ever closer and low
neutrally-charged, long, straight wire with a steady current separated by a distance r from
an electric charge that starts at rest
=0
r
!
+ v=0
Q
I
y
(Ann)
x
z
Q: What happens to the charge, according to Ann?
!"
electric field at q by wire = E =
0
=0
(
part 1: both barn doors open
according to farmer
according to farmers wife
event #1: flash occurs when leading
end of the ladder exits the barn
event #2: flash occurs when trailing
end of the ladder enters the barn
Part of the resolution to this paradox i
Physics 9D Homework Assignment #1
CE 1
In our discussion of the twin paradox, we decided that the reason the twins age different amounts between the events of
departure and arrival was that there is an asymmetry the twin that left on the journey accelerat
Bobs view of the elastic collision (after)
y
y
v
y
v
(Ann)
z
v
x
(Ann)
x
(Ann)
z
x
z
y component of velocity of Bob' s ball = +u
y
y component of velocity of Ann' s ball = u ' y
(Bob)
x
z
We know from the symmetry of the situation that both Ann and Bob th
hf
photoelectric effect: energy accounting
KE
energy in = energy out
incoming energy of photon = work function of metal + max kinetic energy of electron
hf = +KEmax
V=2v
Both clocks measure the proper time between the
events of the thrown clocks departure and return,
since both events occur at the same place in both
frames. As we saw in discussion, the proper time
between two events is maximal when the events
occur i
y
y
event
x
!
r
y
x
y
!
y = r sin
r
!#"#$
x = r cos
x
y' =
(
r sin
x ' = r cos ( ) r [ cos cos + sin sin ] = ( r cos ) cos + ( r sin ) sin
x ' = x cos + ysin
y' = r sin ( ) r [ cos sin + sin cos ] = ( r cos ) sin + ( r sin ) cos
y' = x sin + y cos
# s
event spacetime coordinates : x, y, z, t
event spacetime coordinates : x ', y', z ', t '
y
y
event
v
(Ann)
x
(Bob)
z
x
z
lorentz transformation
v
t'= v t 2 x
c
x ' = v ( x vt )
y' = y
z' = z
rewritten to clearly show spacetime mixing when going from An
now for a microscopic view
v
v
+
+
+
r
!
+ v=0
Q
+ +
+
charges are equally-spaced
FE=0 (electric field is zero)
FB=0 (v=0 in magnetic field)
y
(Ann)
z
+
+ +
r
+
Q
y
x
(Bob)
+
+ +
v
() charges far apart
(+) charges close together
FE0 (electric field
A Short Lesson in Fourier Analysis
Fourier Analysis means adding basic sinusoidal functions to get some other function, perhaps periodic, perhaps not.
Our physical application is the Uncertainty Principle, but its necessary to grasp, at least qualitativel
11.
13.
21.
26.
23.
36.
44.
46.
51.
The reason is that it" the intensity is low enough that multiple “particles’1 are not in the apparatus at once, then the conclusion
that each interferes with itself is greatly strengthened.
The spot establishes its loca
1T.
23.
23.
31.
35.
4I.
IQuite a hit. No matter how few ultraviolet photons there are. emh has quite a bit more energy than a Sill] nm photon. so it will
produce an electron able to surmount the electrostatic barrier by a considerable amountﬂbe stopping p
Quiz 1 solution
April 19, 2017
1
Question
A craft is 50 meter long in its rest frame. It is moving at a high speed with respect to the earth.
Its speed is such that in earths frame its length is observed to be 40 meter. Find the speed of the
craft relativ
1. Question 1: 5 points
1: (2 points). The probability is given by the square of the wavefunction in the region of
interest, in this case,
Z 2L/3
2
sin2 (x/L)
(1)
P(x) =
L
L/3
2: (1 point). The probability is greater than 1/3, because:
3: (2 points). F
Quiz 2 Solution
April 18, 2017
1
Question
A craft is 50 meter long in its rest frame. It is moving at a high speed with respect to the earth.
Its speed is such that at one instance in the earths frame it exactly fits inside an open barn, which
is 40 meter
Quiz 4 Solution
May 11, 2017
1
Question
Consider a double slit experiment with two narrow but unequal slits, and a bank of detectors in
front of the slits. Assume that slits are sufficiently narrow so that with only one of the slits open,
each detector de
r
W
PmmwgDQUm3 DMME 5\vk)
(5 points) 1. Find the Value of 7, where u is the speed of a proton accelerated through a potential difference
of 1012 Volts. (mass of proton mp = 1.67 'x 1027Kg, Charge of proton q = 1.60 x 10190, speed of light
02amx1wmm)
(5 po